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Simplifying -6(1 + -7x) + 7x = 39 + 4x (1 * -6 + -7x * -6) + 7x = 39 + 4x (-6 + 42x) + 7x = 39 + 4x Combine like terms: 42x + 7x = 49x -6 + 49x = 39 + 4x Solving -6 + 49x = 39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 49x + -4x = 39 + 4x + -4x Combine like terms: 49x + -4x = 45x -6 + 45x = 39 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 45x = 39 + 0 -6 + 45x = 39 Add '6' to each side of the equation. -6 + 6 + 45x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + 45x = 39 + 6 45x = 39 + 6 Combine like terms: 39 + 6 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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